Finding the Third Proportional to 10,003 and 21,590

Step by Step Solution

1. Step 1: Write the proportion equation
   10,003 : 21,590 = 21,590 : x
2. Step 2: Convert to fraction form
   10,003/21,590 = 21,590/x
3. Step 3: Cross multiply
   10,003x = 21,590 × 21,590
4. Step 4: Simplify right side
   10,003x = 466,128,100
5. Step 5: Solve for x
   x = 466,128,100/10,003
6. Step 6: Final answer
   x = 46,598.83